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Erdős problem 1095

Erdős, Lacampagne, and Selfridge [ELS93] write 'it is clear to every right-thinking person' that g(k)exp(cklogk)g(k)\geq\exp(c\frac{k}{\log k}) for some constant c>0c>0.

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FormalConjectures/ErdosProblems/

1095.lean

Retained formal statement1 of 4

Sorenson, Sorenson, and Webster [SSWE20] give heuristic evidence that logg(k)klogk\log g(k) \asymp \frac{k}{\log k}.

FormalConjectures/ErdosProblems/1095.leanErdos1095.erdos_1095.variants.log_equivalent1 lineExact file
Asymptotics.IsEquivalent Filter.atTop (fun k => Real.log ↑(Erdos1095.g k)) fun k => ↑k / Real.logk
OpenStatement only, no proof

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